Some Criteria for Acceptable Abstraction
Øystein Linnebo
Source: Notre Dame J. Formal Logic Volume 52, Number 3
(2011), 331-338.
Abstract
Which abstraction principles are acceptable? A variety of criteria have been proposed, in particular irenicity, stability, conservativeness, and unboundedness. This note charts their logical relations. This answers some open questions and corrects some old answers.
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Permanent link to this document: http://projecteuclid.org/euclid.ndjfl/1311875778
Digital Object Identifier: doi:10.1215/00294527-1435492
Mathematical Reviews number (MathSciNet): MR2822493
Zentralblatt MATH identifier: 05970098
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Project Euclid: euclid.ndjfl/1038336880
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Project Euclid: euclid.ndjfl/1082637613
Notre Dame Journal of Formal Logic